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Mathematics Question

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Mathematics
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Running head: MATHEMATICS PROBLEM 1
Mathematics Problem
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Running head: MATHEMATICS PROBLEM Mathematics Problem Name Institution 1 MATHEMATICS PROBLEM 2 Mathematics Problem Taking 𝑥 2 + 4𝑦 2 = 40 … … 𝑖 𝑥𝑦 = 6 … … 𝑖𝑖 and making x the subject of the formula in equation ii 6 We get, 𝑥 = 𝑦 6 36 Substituting the value in equation i results to, (𝑦)2 + 4𝑦 2 = 𝑦 2 + 4𝑦 2 = 40 Multiplying the equation i by 𝑦 2 results to, 36 + 4𝑦 4 = 40𝑦 2 Rearranging the above equation, we get, 4𝑦 4 − 40𝑦 2 + 36 = 0 Dividing by 4 we get, 𝑦 4 − 10𝑦 2 + 9 = 0 Let 𝑦 2 = 𝑚 such that 𝑦 4 − ...
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